Weighted inequalities for rough square functions through extrapolation

Javier Duoandikoetxea, and Edurne Seijo. "Weighted inequalities for rough square functions through extrapolation." Studia Mathematica 149.3 (2002): 239-252. <http://eudml.org/doc/284851>.

@article{JavierDuoandikoetxea2002,
abstract = {Weighted inequalities for some square functions are studied. L² results are proved first using the particular structure of the operator and then extrapolation of weights is applied to extend the results to other $L^\{p\}$ spaces. In particular, previous results for square functions with rough kernel are obtained in a simpler way and extended to a larger class of weights.},
author = {Javier Duoandikoetxea, Edurne Seijo},
journal = {Studia Mathematica},
keywords = {square functions; weighted inequalities; extrapolation; Littlewood-Paley and Marcinkiewicz operators; Fourier transforms; Muckenhoupt class; rough kernels; spherical maximal function; spaces of homogeneous type},
language = {eng},
number = {3},
pages = {239-252},
title = {Weighted inequalities for rough square functions through extrapolation},
url = {http://eudml.org/doc/284851},
volume = {149},
year = {2002},
}

TY - JOUR
AU - Javier Duoandikoetxea
AU - Edurne Seijo
TI - Weighted inequalities for rough square functions through extrapolation
JO - Studia Mathematica
PY - 2002
VL - 149
IS - 3
SP - 239
EP - 252
AB - Weighted inequalities for some square functions are studied. L² results are proved first using the particular structure of the operator and then extrapolation of weights is applied to extend the results to other $L^{p}$ spaces. In particular, previous results for square functions with rough kernel are obtained in a simpler way and extended to a larger class of weights.
LA - eng
KW - square functions; weighted inequalities; extrapolation; Littlewood-Paley and Marcinkiewicz operators; Fourier transforms; Muckenhoupt class; rough kernels; spherical maximal function; spaces of homogeneous type
UR - http://eudml.org/doc/284851
ER -